OFFSET
0,2
FORMULA
EXAMPLE
0.1309689005663456008580754336956370484226429615564731843
MATHEMATICA
Omega=LambertW[1]; xi=ArcTan[Sqrt[Omega]]; N[Sin[xi]^4, 120]
omega=1/LambertW[1]; N[1/(omega+1)^2, 120]
Omega=LambertW[1]; omega=1/Omega; NIntegrate[(-t/LambertW[-1, -t*Omega^omega])^omega, {t, 0, 1}, WorkingPrecision->120]
PROG
(PARI) my(Omega=lambertw(1), xi=atan(sqrt(Omega))); sin(xi)^4
(PARI) 1/(1/lambertw(1)+1)^2
CROSSREFS
KEYWORD
nonn,cons
AUTHOR
Gleb Koloskov, Mar 09 2021
STATUS
approved